What is the extreme f(x)=2x^3-12x^2+14 ?

The extreme f(x)=2x^3-12x^2+14 is Maximum(0,14),Minimum(4,-50)

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extreme f(x)=2x^3-12x^2+14

extreme

Maximum (0, 14), Minimum (4, - 50)

Solution steps

f^{'} (x) = 6 x^{2} - 24 x

Find intervals:

Increasing

: - \infty < x < 0,

Decreasing

: 0 < x < 4,

Increasing

: 4 < x < \infty

Plug

x = 0

into

2 x^{3} - 12 x^{2} + 14 : 14

Maximum (0, 14)

Plug

x = 4

into

2 x^{3} - 12 x^{2} + 14 : - 50

Minimum (4, - 50)

Maximum (0, 14), Minimum (4, - 50)

What is the extreme f(x)=2x^3-12x^2+14 ?
The extreme f(x)=2x^3-12x^2+14 is Maximum(0,14),Minimum(4,-50)